Quantum physics Books
Springer International Publishing AG A Course in Quantum Many-Body Theory: From
Book SynopsisThis textbook presents various methods to deal with quantum many-body systems, mainly addressing interacting electrons. It focusses on basic tools to tackle quantum effects in macroscopic systems of interacting particles, and on fundamental concepts to interpret the behavior of such systems as revealed by experiments.The textbook starts from simple concepts like second quantization, which allows one to include the indistinguishability and statistics of particles in a rather simple framework, and linear response theory. Then, it gradually moves towards more technical and advanced subjects, including recent developments in the field. The diagrammatic technique is comprehensively discussed. Some of the advanced topics include Landau’s Fermi liquid theory, Luttinger liquids, the Kondo effect, and the Mott transition.The ultimate goal of the book is to gain comprehension of physical quantities that are routinely measured experimentally and fully characterize the system, therefore it is useful for graduate students but also young researchers studying and investigating the theoretical aspects of condensed matter physics.Table of ContentsSecond Quantization.- Linear Response Theory.- Hartree-Fock Approximation.- Feynman Diagram Technique.- Landau’s Fermi Liquid Theory.- Brief Introduction to Luttinger Liquids.- Kondo Effect and the Physics of the Anderson Impurity Model.
£75.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Quantum-Classical Analogies
Book SynopsisIt is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.Trade ReviewFrom the reviews: "The main role of quantum classical analogies presented in ten distinct chapters is to shed some light on the genuine significance of the quantum and classical worlds. … The book addresses a large category of readers, especially graduates and PhD students … . The book is also useful for researchers working in advanced topics … . It can be used as an additional source for a course on quantum mechanics … . The hard cover book is nicely edited … ." (Roland Carchon, Physicalia, Vol. 57 (3), 2005) "The authors … devote their new book to the striking analogies between classical and quantum physics. … the authors wish to show that the classical and quantum worlds share many common concepts despite striking differences. … The wealth of analogies … discovered and presented in ten distinct chapters sheds some light on the genuine significance of both the quantum world and its classical counterpart. The book addresses students and researchers alike specialising in the study of quantum devices, atom optics or quantum optics." (Gert Roepstorff, Zentralblatt MATH, Vol. 1093 (19), 2006) "Analogies are a powerful cognitive tool that allow us to make inferences and learn new aspects from the comparison of two things by highlighting their similarities. … It is important to mention that the book is intended to be a catalogue of phenomena shared between classical and quantum physics … . the references given are an invaluable asset. … This book is therefore a very good choice for those interested in bridging ideas from classical physics into the quantum world or vice versa." (Dr. J. Rogel-Salazar, Contemporary Physics, Vol. 46 (6), 2005) "This book develops and explores in a systematic manner a large number of analogs between quantum and classical theories. … It follows closely the recent experimental developments, and for each chapter there is a large number of current references. … It will be very valuable for a large category of readers ranging from graduate and Ph. D. students to researchers working in these areas, and on to teachers looking for nontrivial modern applications and developments in both quantum and classical physics." (Vitor R. Vieira, Mathematical Reviews, Issue 2007 c)Table of Contents1 Introduction.- 2 Analogies Between Ballistic Electrons and Electromagnetic Waves.- 3 Electron/Electromagnetic Multiple Scattering and Localization.- 4 Acoustic Analogies for Quantum Mechanics.- 5 Optical Analogs for Multilevel Quantum Systems.- 6 Particle Optics.- 7 Quantum/Classical Nonlinear Phenomena.- 8 Quantum/Classical Phase Space Analogies.- 9 Analogies Between Quantum and Classical Computing.- 10 Other Quantum/Classical Analogies.- References.
£999.99
Motilal Banarsidass, Vedic Physics: Towards Unification of Quantum
Book SynopsisThe book explores Vedic texts through a scientific lens, interpreting symbols and concepts to test the claim that Vedas hold all true sciences.
£22.49
Anmol Publications Pvt Ltd A Textbook of Quantum Mechanics
Book Synopsis
£14.99
World Scientific Publishing Co Pte Ltd Large N Expansion In Quantum Field Theory And
Book SynopsisThis book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.
£319.50
World Scientific Publishing Co Pte Ltd Treatment Of Collective Coordinates In Many-body
Book SynopsisThese lecture notes deal with the problem of collective coordinates in many-body systems, which are treated as gauge systems in (0+1) dimensions. The resulting classical Dirac brackets are discussed, as well as the structure of the quantal space of wavefunctions. Emphasis is made on the application of the BRST formalism. Several systems displaying an approximate breakdown of symmetries are treated. Many-body physicists may find attractive both a rigorous formulation of the problem of collective coordinates and being introduced to the BRST formalism, which has become a fundamental tool in gauge theories. Field-theorists may find illuminating the applications to simpler mechanical examples. The notes are self-contained. In particular, they do not require a previous knowledge of either the BRST formalism or of collective transformations.
£51.30
World Scientific Publishing Co Pte Ltd Disorder And Competition In Soluble Lattice
Book SynopsisAt present, existing literature on this subject matter can only be said to relate in minor areas to this work. Important concepts in statistical mechanics, such as frustration, localization, Lifshitz and Griffiths singularities, multicritical points, modulated phases, superselection sectors, spontaneous symmetry breaking and the Haldane phase, strange attractors and the Hausdorff dimension, and many others, are illustrated by exactly soluble lattice models. There are examples of simple lattice models which are shown to give rise to spectacular phase diagrams, with multicritical points and sequences of modulated phases. The models are chosen to enable a concise exposition as well as a connection with real physical systems (as dilute antiferromagnets, spin glasses and modulated magnets). A brief introduction to the properties of dynamical systems, an overview of conformal invariance and the Bethe Ansatz and a discussion of some general methods of statistical mechanics related to spontaneous symmetry breaking, are included in the appendices. A number of exercises are included in the text to help the comprehension of the most representative issues.Table of ContentsDilute systems; lattice models with competing interactions; spin glasses; quantum lattice systems with competing interactions; a brief introduction to dynamical system; the theorems of Aubry; Bethe Ansatz and conformal invariance; unicity of phases, unicity in a sector, and spontaneous symmetry breaking.
£57.95
World Scientific Publishing Co Pte Ltd Quantum Mechanics: A Modern Development
Book SynopsisAlthough there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it could be used by senior undergraduates too.Trade Review"? the book is of greatest benefit to students of quantum mechanics who want to learn more than solely computational recipes and predictive tools of the theory, and, in this sense, the book really fills a gap in the literature." Mathematical Reviews, 1999
£51.30
World Scientific Publishing Co Pte Ltd Non-perturbative Methods In 2 Dimensional Quantum
Book SynopsisThe second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings.This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory.Table of ContentsFree Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear [sigma] Models: Classical Aspects; Nonlinear [sigma] Models - Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED2: Operator Approach; Quantum Chromodynamics; QED2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics.
£252.00
World Scientific Publishing Co Pte Ltd Introduction To The Quantum World Of Atoms And
Book SynopsisThis invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree-Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.Table of ContentsThe rise of atomic theory; the birth of quantum mechanics; wave mechanics; particle in a box; quantum-mechanical operators; the free particle; the harmonic oscillator; the central-field problem; the hydrogen atom; the spinning electron; the periodic table by electron counting; the variational method; diatomic molecules; vibration and rotation of diatomic molecules; atomic term symbols; atomic terms, wavefunctions and energies; electronic terms of diatomic molecules; the Hartree-Fock method; density-functional theory.
£110.20
World Scientific Publishing Co Pte Ltd Critical Properties Of Phi4- Theories
Book SynopsisThis book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-ε dimensions, where they possess pole terms in 1/ε. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Padé and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent α governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-ε dimensions, and improved ratio tests in high-temperature expansions of lattice models.Table of ContentsDefinition of [phi]4-Theory; Feynman Diagrams; Diagrams in Momentum Space; Structural Properties of Perturbation Theory; Diagrams for Multicomponent Fields; Scale Transformations of Fields and Correlation Functions; Regularization of Feynman Integrals; Renormalization; Renormalization Group; Recursive Subtraction of UV-Divergences via R-Operation; Zero-Mass Approach to Counterterms; Calculation of Momentum Space Integrals; Generation of Diagrams; Results of the Five-Loop Calculation; Basic Resummation Theory; Critical Exponents of O(N)-Symmetric Theory; Cubic Anisotropy; Variational Perturbation Theory; Critical Exponents from Other Expansions; New Resummation Algorithm; Conclusion: Diagrammatic R-Operation Up to Five Loops; Contributions to Renormalization-Constants.
£45.60
World Scientific Publishing Co Pte Ltd Structural Aspects Of Quantum Field Theory And
Book SynopsisThe book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
£462.29
World Scientific Publishing Company Lectures on Quantum Mechanics Second Edition
Book Synopsis
£76.00
World Scientific Publishing Company Lectures on Quantum Mechanics Second Edition
Book Synopsis
£76.00
World Scientific Publishing Company Lectures on Quantum Mechanics Second Edition
Book Synopsis
£76.00
World Scientific Publishing Co Pte Ltd Introduction To Modern Methods Of Quantum
Book SynopsisThis invaluable book contains pedagogical articles on the dominant nonstochastic methods of microscopic many-body theories — the methods of density functional theory, coupled cluster theory, and correlated basis functions — in their widest sense. Other articles introduce students to applications of these methods in front-line research, such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics that are of current relevance. The book addresses the striking lack of pedagogical reference literature in the field that allows researchers to acquire the requisite physical insight and technical skills. It should, therefore, provide useful reference material for a broad range of theoretical physicists in condensed-matter and nuclear theory.Table of ContentsDensity functional theory; microscopic description of quantum liquids; the coupled cluster method and its application; experiments with a Rubidium Bose-Einstein condensate; theoretical aspects of Bose-Einstein condensation; elementary excitations and dynamic structure of quantum fluids; theory of correlated basis functions; the magnetic susceptibility of liquid 3He; the hyperspherical harmonic method - a review and some recent developments; the nuclear many-body problem.
£122.55
World Scientific Publishing Co Pte Ltd Geometric And Topological Methods For Quantum
Book SynopsisThis volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.Table of ContentsNoncommutative Geometry: Hopf Algebras in Noncommutative Geometry (J C Varilly); The Noncommutative Geometry of Aperiodic Solids (J Bellissard); Noncommutative Geometry and Abstract Integration Theory (M-T Benameur); Topological Field Theory: Introduction to Quantum Invariants of 3-Manifolds, Topological Quantum Field Theories and Modular Categories (C Blanchet); An Introduction to Donaldson-Witten Theory (M Marino); Supergravity and String Theory: (Super)-Gravities Beyond 4 Dimensions (J Zanelli); Introductory Lectures on String Theory and the AdS/CFT Correspondence (A Pankiewicz & S Theisen); Short Communications: Group Contractions and Its Consequences Upon Representations of Different Spatial Symmetry Groups (M Ayala-Sanchez & R W Haase); Phase Anomalies as Trace Anomalies in Chern-Simons Theory (A Cardona); Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields (E Lupercio & B Uribe).
£197.60
World Scientific Publishing Co Pte Ltd Towards A Nonlinear Quantum Physics
Book SynopsisThe author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.Table of ContentsComplementarity Principle and the Nonlocal Fourier Analysis; New Generation of Microscopes; Beyond Heisenberg's Uncertainty Relations; The Meaning of the Wave Function; Interference Without Superposition of the Wave Packets.
£65.55
World Scientific Publishing Co Pte Ltd Analytic Aspects Of Quantum Fields
Book SynopsisOne of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.Table of ContentsSurvey of Path Integral Quantization and Regularization Techniques; Zeta-Function Regularization Method; Generalized Quadratic Spectra and Spectral Functions on Non-Commutative Spaces; Spectral Functions of Laplace Operator on Locally Symmetric Spaces of Rank One; Spinor Field; Spinor Fields and the Index Theorem; Field Fluctuations and Related Variances; The Multiplicative Anomaly; Some Applications of the Multiplicative Anomaly; The Casimir Effect.
£146.30
World Scientific Publishing Co Pte Ltd Principles Of Quantum Computation And Information
Book SynopsisQuantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required.Volume I may be used as a textbook for a one-semester introductory course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science.
£81.70
World Scientific Publishing Co Pte Ltd Principles Of Quantum Computation And Information
Book SynopsisQuantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required.Volume I may be used as a textbook for a one-semester introductory course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science.
£999.99
World Scientific Publishing Co Pte Ltd 50 Years Of Yang-mills Theory
Book Synopsis“It was a brilliant idea to signal the 50th birthday of Yang-Mills theory by gathering together a wide range of articles by leading experts on many aspects of the subject. The result is a most handsome tribute of both historical and current interest, and a substantial addition to the existing literature …This unusual and elegant festschrift is a treat for theorists.”CERN CourierOn the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea.During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rújula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of Yang-Mills theory.
£152.00
World Scientific Publishing Co Pte Ltd Quantum Probability Communications: Qp-pq -
Book SynopsisLecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12.Table of ContentsExtensions of Quantum Stochastic Calculus (S Attal) Quantum Ito Algebras: Axioms, Representations, Decompositions (V Belavkin) Free Probability for Probabilists (P Biane) Conditional Expectations on von Neumann Algebras (C Cecchini) Classical Probability Theory: An Outline of Stochastic Integrals and Diffusions (M Emery) Quantum Stochastic Differential Equations (F Fagnola) Canonical Commutation and Anticommutation Relations (M Fannes) Quantum and Classical Stochastic Calculus (A Holevo) An Introduction to Quantum Stochastic Calculus and Some of Its Applications (R Hudson) Stationary Processes in Quantum Probability (B Kummerer)
£74.10
World Scientific Publishing Co Pte Ltd Soft Multihadron Dynamics
Book SynopsisThis book gives a comprehensive account of the development and present status of the field of soft (i.e. non-perturbative) phenomena encountered in the production of (multi-) hadronic final states by the collision of various types of particles at high energies. Phenomenological models used to describe the data are in general inspired by Quantum Chromo Dynamics (QCD) and the book repeatedly crosses the border — if at all existent — between soft (non-perturbative) and hard (perturbative) QCD.Table of Contents# Total Cross Sections and Diffraction # Inclusive and Exclusive Data Analysis in LPS, Event Shape # Three-Particle Exclusive Final States # Single-Particle Inclusive Distributions # Early Models # Fragmentation Models # Correlations and Fluctuations, the Formalism # Final-State Multiplicity # Experimental Results on Correlations # Multiplicity Fluctuations and Intermittency # Bose-Einstein Correlations
£199.50
World Scientific Publishing Co Pte Ltd Elementary Quantum Mechanics (Expanded Edition)
Book SynopsisQuantum mechanics is a difficult subject for students to learn after years of rigorous training in classical physics. In quantum mechanics they have to abandon what they have laboriously learned and adopt a new system of thinking.In the previous edition of this book, the author reformulated classical mechanics as a classical theory with an undetermined constant. As the constant approaches zero the theory reduces to Newton's exactly, but when set equal to the Planck constant the theory reduces to the Schrödinger representation of quantum mechanics. Thus the new theory, at least in its mathematical form, can be learned without ramifications and complexity. Over the years, the book has shepherded the growth of a generation of physicists.In this expanded edition, a similar trick is applied to introduce matrix mechanics. The matrix formulation presented allows quantum theory to be generalized to new physical systems such as electron spin, which cannot be done by the Schrödinger approach.The result is a textbook which promises to provide a future generation of students a clear, usable and authoritative resource to study the fundamentals of quantum mechanics. Twenty new problems are added to existing chapters.Table of ContentsHistorical Introduction; The Schrodinger Equation and Its Mathematical Implications; The Free Particle; The Linear Harmonic Oscillator; One-Dimensional Potential Barrier Problems; The Physical Meaning of Quantum Mechanics; General Methods for One-Dimensional Problems; Three-Dimensional Problems; The Three-Dimensional Harmonic Oscillator; Time-Independent Perturbation Theory; Time-Dependent Perturbation Theory; General Formulation of Quantum Mechanics and Its Applications; Matrix Mechanics
£115.90
World Scientific Publishing Co Pte Ltd Quantum Mechanics In Nonlinear Systems
Book SynopsisIn the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.Trade Review"This book is well documented, containing a large list of valuable references, and gives an attentive and complete description of many systems of physical interest ... It is useful for a large category of physicists, ranging from postgraduate students to experimentalists and theoreticians." Mathematical ReviewsTable of ContentsLinear Quantum Mechanics (LQM): Its Successes and Problems; Macroscopic Quantum Effects and Properties of Motion of Quasiparticles; The Fundamental Principles and Theories of Nonlinear Quantum Mechanics; Wave-Corpuscle Duality of Microscopic Particles (MIP) in the NLQM; Nonlinear Interaction and Localization of the MIP; Nonlinear Versus Linear Quantum Mechanics; The Problems Solving in the NLQM; Properties and States of the MIP in Different Nonlinear Systems; Nonlinearly Quantum-Mechanical Properties of the Excitons and Phonons; Properties of Nonlinear Excitations and Motions for Protons, Polarons and Magnons in Different Systems.
£80.75
World Scientific Publishing Co Pte Ltd Elementary Quantum Mechanics (Expanded Edition)
Book SynopsisQuantum mechanics is a difficult subject for students to learn after years of rigorous training in classical physics. In quantum mechanics they have to abandon what they have laboriously learned and adopt a new system of thinking.In the previous edition of this book, the author reformulated classical mechanics as a classical theory with an undetermined constant. As the constant approaches zero the theory reduces to Newton's exactly, but when set equal to the Planck constant the theory reduces to the Schrödinger representation of quantum mechanics. Thus the new theory, at least in its mathematical form, can be learned without ramifications and complexity. Over the years, the book has shepherded the growth of a generation of physicists.In this expanded edition, a similar trick is applied to introduce matrix mechanics. The matrix formulation presented allows quantum theory to be generalized to new physical systems such as electron spin, which cannot be done by the Schrödinger approach.The result is a textbook which promises to provide a future generation of students a clear, usable and authoritative resource to study the fundamentals of quantum mechanics. Twenty new problems are added to existing chapters.Table of ContentsHistorical Introduction; The Schrodinger Equation and Its Mathematical Implications; The Free Particle; The Linear Harmonic Oscillator; One-Dimensional Potential Barrier Problems; The Physical Meaning of Quantum Mechanics; General Methods for One-Dimensional Problems; Three-Dimensional Problems; The Three-Dimensional Harmonic Oscillator; Time-Independent Perturbation Theory; Time-Dependent Perturbation Theory; General Formulation of Quantum Mechanics and Its Applications; Matrix Mechanics
£65.55
World Scientific Publishing Co Pte Ltd Bell That Rings Light, The: A Primer In Quantum
Book SynopsisThis book is an introduction to quantum mechanics and mathematics that leads to the solution of the Schrodinger equation. It can be read and understood by undergraduates without sacrificing the mathematical details necessary for a complete solution giving the shapes of molecular orbitals seen in every chemistry text. Readers are introduced to many mathematical topics new to the undergraduate curriculum, such as basic representation theory, Schur's lemma, and the Legendre polynomials.Trade Review"It probably serves best as supplementary material, either for mathematics students to see how some seemingly abstract mathematics has been applied to physical systems or for science students to appreciate the logical system that underpins familiar physical models."ChoiceTable of ContentsRutherford, Bohr and Balmer; Some Important Experiments; Early Quantum Mechanics: The Atom; New Assumptions; Zetetics; Classical Waves; Particle-in-a-Box; Exploring the Analogy; Dr Schrodinger, I Presume?; The Quantum Numbers; Pleased to Meet You, Dr Schur; The Spherical Harmonics; More French Mathematicians; Reprise: The Quantum Numbers; Chemistry and Bonding; Valence Shell Electron Pair Repulsion; The Shape of an Orbital; Molecular Orbital Theory; Valence Bond Theory; Other Kinds of Bonding; Case Study: Dye Molecules.
£45.60
World Scientific Publishing Co Pte Ltd Introduction To Quantum Mechanics: Schrodinger
Book SynopsisAfter a consideration of basic quantum mechanics, this introduction aims at a side by side treatment of fundamental applications of the Schrödinger equation on the one hand and the applications of the path integral on the other. Different from traditional texts and using a systematic perturbation method, the solution of Schrödinger equations includes also those with anharmonic oscillator potentials, periodic potentials, screened Coulomb potentials and a typical singular potential, as well as the investigation of the large order behavior of the perturbation series. On the path integral side, after introduction of the basic ideas, the expansion around classical configurations in Euclidean time, such as instantons, is considered, and the method is applied in particular to anharmonic oscillator and periodic potentials. Numerous other aspects are treated on the way, thus providing the reader an instructive overview over diverse quantum mechanical phenomena, e.g. many other potentials, Green's functions, comparison with WKB, calculation of lifetimes and sojourn times, derivation of generating functions, the Coulomb problem in various coordinates, etc. All calculations are given in detail, so that the reader can follow every step.Trade Review"... for all readers interested in specific aspects of perturbation methods, path integrals, and their applications in classical field theory, this book provides a valuable source for their studies."Mathematical ReviewsTable of ContentsHamiltonian Mechanics; Mathematical Foundations of Quantum Mechanics; Dirac's Ket- and Bra-Formalism; Schrodinger Equation and Liouville Equation; Quantum Mechanics of the Harmonic Oscillator; Green's Functions; Time-Independent Perturbation Theory; The Density Matrix and Polarization Phenomena; Quantum Theory: The General Formalism; The Coulomb Interaction; Quantum Mechanical Tunneling; Linear Potentials; Classical Limit and WKB Method; Power Potentials; Screened Coulomb Potentials; Periodic Potentials; Anharmonic Oscillator Potentials; Singular Potentials; Large Order Behavior of Perturbation Expansions; The Path Integral Formalism; Classical Field Configurations; Path Integrals and Instantons; Path Integrals and Bounces on a Line; Periodic Classical Configurations; Path Integrals and Periodic Classical Configurations; Quantization of Systems with Constraints; The Quantum-Classical Crossover as Phase Transition.
£77.90
World Scientific Publishing Co Pte Ltd Nonequilibrium Quantum Transport Physics In
Book SynopsisThis book presents the first comprehensive treatment of discrete phase-space quantum mechanics and the lattice Weyl-Wigner formulation of energy band dynamics, by the originator of these theoretical techniques. The author's quantum superfield theoretical formulation of nonequilibrium quantum physics is given in real time, without the awkward use of artificial time contour employed in previous formulations. These two main quantum theoretical techniques combine to yield general (including quasiparticle-pairing dynamics) and exact quantum transport equations in phase-space, appropriate for nanodevices. The derivation of transport formulas in mesoscopic physics from the general quantum transport equations is also treated. Pioneering nanodevices are discussed in the light of the quantum-transport physics equations, and an in-depth treatment of the physics of resonant tunneling devices is given. Operator Hilbert-space methods and quantum tomography are discussed. Discrete phase-space quantum mechanics on finite fields is treated for completeness and by virtue of its relevance to quantum computing. The phenomenological treatment of evolution superoperator and measurements is given to help clarify the general quantum transport theory. Quantum computing and information theory is covered to demonstrate the foundational aspects of discrete quantum dynamics, particularly in deriving a complete set of multiparticle entangled basis states.Table of ContentsOverview of Quantum Mechanical Methods; Mesoscopic Physics; Heterostructure Quantum Devices; Foundation of Nonequilibrium Quantum Dynamics; Discrete Phase-Space on Finite Fields; Quantum Information Theory; Quantum Biology.
£165.30
World Scientific Publishing Co Pte Ltd Lectures On Quantum Mechanics (In 3 Companion
Book SynopsisNote: The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade - Dirac's kets and bras and so on - is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrödinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.Table of ContentsBasic Matters: A Brutal Fact of Life; Kinematics: How Quantum Systems are Described; Dynamics: How Quantum Systems Evolve; Motion along the x Axis; Elementary Examples; Simple Systems: Quantum Kinematics Reviewed; Quantum Dynamics Reviewed; Examples; Orbital Angular Momentum; Hydrogen-like Atoms; Approximation Methods; Perturbed Evolution: Basics of Kinematics and Dynamics; Time-Dependent Perturbations; Scattering; Angular Momentum; External Magnetic Field; Indistinguishable Particles
£156.75
World Scientific Publishing Co Pte Ltd Field Theory: A Path Integral Approach (2nd
Book SynopsisNew Edition: Field Theory (3rd Edition)This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described.Trade Review"This book is well-written and very readable. The book is a self-consistent introduction to the path integral formalism and no prior knowledge of it is required, although the reader should be familiar with quantum mechanics. This book is an excellent guide for the reader who wants a good and detailed introduction to the path integral and most of its important application in physics. I especially recommend it for graduate students in theoretical physics and for researchers who want to be introduced to the powerful path integral methods."Mathematical Reviews"... this volume gives a clear and neat account by way of practical use. Accordingly, it will be a useful compact textbook for graduate students to learn quantum field theory by path integral approach, especially, to get quickly an overview of its technical side so as to know the applicability of its methods to various areas."Zentralblatt MATHTable of ContentsPath Integrals and Quantum Mechanics; Harmonic Oscillator; Generating Functional; Path Integrals for Fermions; Supersymmetry; Semi-Classical Methods; Path Integral for the Double Well; Path Integral for Relativistic Theories; Effective Action; Invariances and Their Consequences; Gauge Theories; Anomalies; Systems at Finite Temperature; Ising Model.
£65.55
World Scientific Publishing Co Pte Ltd Foundations Of Quantum Mechanics, Historical
Book SynopsisThis volume provides a unique overview of recent Italian studies on the foundations of quantum mechanics and related historical, philosophical and epistemological topics. A gathering of scholars from diverse cultural backgrounds, the conference provided a forum for a fascinating exchange of ideas and perspectives on a range of open questions in quantum mechanics. The varied nature of the papers in this volume attests to the achievement of that aim with many contributions providing original solutions to established problems by taking into account recommendations from different disciplines.Table of ContentsNew Perspectives on Fundamental Problems in Quantum Mechanics: Theory of Measurement; Macroscopic Interpretability of Quantum Subsystems; Objective Background for Quantum Theory; Operational Probability Theory (OPT) and Conditional Probabilities; Entanglement and Non-Locality; Wave-Particle Duality, Double Slit Experiments; Complementarity; Operational Definition of Observables; Simulation of Quantum Features; De Broglie-Bohm Model; Interdisciplinary Issues: Parastatistics in Econophysics; Propositions in Classical and Quantum Physics; Statistical Criticism of the Double Slit Experiment; Chemical Valence as Relational Property; Quantum Computer View (QCV) at the Planck Scale; Historical, Philosophical and Epistemological Inquiries: The First Steps of Quantum Electrodynamics; Electromagnetism and Quantum Physics; Mathematics and Epistemology in Planck's Work; Logic and Mathematics in Heisenberg's Formulation; Reality and Nanotechnologies; Non-Empirically Decidable Properties in Modern Physics; Computability of Physical Theories; Entrance of Quantum Mechanics in Italy; Gramsci and Quantum Mechanics; Italic Tradition on the Question of Physical Objectivity.
£166.25
World Scientific Publishing Co Pte Ltd Field Theory: A Path Integral Approach (2nd
Book SynopsisNew Edition: Field Theory (3rd Edition)This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described.Trade Review"This book is well-written and very readable. The book is a self-consistent introduction to the path integral formalism and no prior knowledge of it is required, although the reader should be familiar with quantum mechanics. This book is an excellent guide for the reader who wants a good and detailed introduction to the path integral and most of its important application in physics. I especially recommend it for graduate students in theoretical physics and for researchers who want to be introduced to the powerful path integral methods."Mathematical Reviews"... this volume gives a clear and neat account by way of practical use. Accordingly, it will be a useful compact textbook for graduate students to learn quantum field theory by path integral approach, especially, to get quickly an overview of its technical side so as to know the applicability of its methods to various areas."Zentralblatt MATHTable of ContentsPath Integrals and Quantum Mechanics; Harmonic Oscillator; Generating Functional; Path Integrals for Fermions; Supersymmetry; Semi-Classical Methods; Path Integral for the Double Well; Path Integral for Relativistic Theories; Effective Action; Invariances and Their Consequences; Gauge Theories; Anomalies; Systems at Finite Temperature; Ising Model.
£101.65
World Scientific Publishing Co Pte Ltd Quantum Structure Of Space And Time, The -
Book SynopsisEver since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling Einstein's theory of gravity with quantum mechanics.These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume.In the Solvay tradition, the volume also includes the discussions among the participants — many of which were quite lively and illustrate dramatically divergent points of view — carefully edited and reproduced in full.Table of ContentsHistory; Quantum Mechanics; Singularities; Mathematical Structures; Emergent Spacetime; Cosmology.
£134.10
World Scientific Publishing Co Pte Ltd Gravitation And Astrophysics: On The Occasion Of
Book SynopsisThe ICGA series of conferences is specially aimed to serve the needs of the workers in this research area in the Asia-Pacific region. The previous conferences of this series have attracted a growing number of local, regional and international participants. 2005 was an auspicious year. Not only was it the International Year of Physics, commemorating Einstein's great achievements of 1905, it also was the anniversary of Einstein's development of General Relativity: he submitted the final form of his field equations on 25 November, 1915. Nine decades years later, around 40 Taiwan-based participants were joined by over 40 distinguished visitors from Canada, China, France, Japan, Korea, Russia, and the USA, and this volume includes many of the papers that were presented. The depth and breadth of these contributions reflect the high quality of the meeting and the development of the field in the Asia-Pacific region.Table of ContentsExperimental Tests of Gravity; Numerical Relativity; Cosmology; Astrophysics; Quantum Gravity; Classical Gravity.
£999.99
World Scientific Publishing Co Pte Ltd Lectures On Quantum Mechanics - Volume 2: Simple
Book SynopsisNote: The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade - Dirac's kets and bras and so on - is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrödinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.Table of ContentsSimple Systems: Quantum Kinematics Reviewed; Quantum Dynamics Reviewed; Examples; Orbital Angular Momentum; Hydrogen-like Atoms; Approximation Methods
£999.99
World Scientific Publishing Co Pte Ltd Lectures On Quantum Mechanics - Volume 3:
Book SynopsisNote: The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade - Dirac's kets and bras and so on - is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrödinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.Table of ContentsPerturbed Evolution: Basics of Kinematics and Dynamics; Time-Dependent Perturbations; Scattering; Angular Momentum; External Magnetic Field; Indistinguishable Particles
£999.99
World Scientific Publishing Co Pte Ltd Advanced Quantum Theory (Third Edition)
Book SynopsisAdvanced Quantum Theory is a concised, comprehensive, well-organized text based on the techniques used in theoretical elementary particle physics and extended to other branches of modern physics as well. While it is especially valuable reading for students and professors of physics, a less cursory survey should aid the nonspecialist in mastering the principles and calculational tools that probe the quantum nature of the fundamental forces. The initial application is to nonrelativistic scattering graphs encountered in atomic, solid state, and nuclear physics. Then, focusing on relativistic Feynman Diagrams and their construction in lowest order — applied to electromagnetic, strong, weak, and gravitational interactions — this bestseller also covers relativistic quantum theory based on group theoretical language, scattering theory, and finite parts of higher order graphs. This new edition includes two chapters on the quark model at low energies.Table of ContentsTransformation Theory: Transformations in Space; Transformations in Space-Time; Boson Wave Equations; Spin- Dirac Equation; Discrete Symmetries; Scattering Theory: Formal Theory of Scattering; Simple Scattering Dynamics; Nonrelativistic Perturbation Theory; Covariant Feynman Diagrams: Covariant Feynman Rules; Lowest-Order Electromagnetic Interactions; Low-Energy Strong Interactions; Lowest-Order Weak Interactions; Lowest-Order Gravitational Interactions; Higher-Order Covariant Feynman Diagrams; Quark Model at Low Energies; Chiral Symmetry Breaking and Pions; Appendices: Units and Conventions; Rotation-Group Formulae; Elementary-Particle Zoo.
£115.90
World Scientific Publishing Co Pte Ltd Equilibrium And Non-equilibrium Statistical
Book SynopsisThis book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.Table of ContentsEquilibrium Statistical Mechanics: General Principles of Many-Particle Systems; Classical and Quantum Formalisms. The Boltzmann Gas, the Perfect Bose Gas and Fermi Gas; Quantum Systems with Strong Interactions; Non-Equilibrium Statistical Mechanics: Classical Transport Theory; Linear Response Theory and Quantum Transport; Stochastic Phenomena; Appendices: The Schrodinger, Heisenberg and Interaction Pictures; Spin and Statistics.
£69.35
World Scientific Publishing Co Pte Ltd Strongly Correlated Systems, Coherence And
Book SynopsisThis volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum systems. These areas have attracted considerable interest due to their complexity and associated unexpected nontrivial phenomena, and also due to their potential applications in various fields, from materials science to information technology. The coverage includes strongly correlated electronic systems such as low-dimensional complex materials, ordered and disordered spin systems, and aspects of the physics of manganites and graphene, both in equilibrium and far from equilibrium.Table of ContentsStrongly Correlated Systems: Spin Glasses (I R Pimentel); Double Exchange Models with Disorder (V Pereira et al.); Anomalous Hall Effect in Magnetic Nanostructures (V K Dugaev et al.); Introduction to the Physics of Graphene (E Vieira de Castro et al.); Dynamics and Domain Growth in Quantum Spin Systems (V Turkowski & V Rocha Vieira); Coherence in Macroscopic Systems: Atomic Bose-Einstein Condensates: Beyond Mean Field Theory (G Nunes); Critical Fields in Superconductors with Singular Density of States (R G Dias); Chiral Symmetry and BCS (J E Ribeiro); Quantum Entanglement: Entanglement in Quantum Phase Transitions (Y Omar et al.); Macroscopic Entanglement at Finite Temperature (Y Omar et al.); and other papers.
£186.20
World Scientific Publishing Co Pte Ltd Low-dimensional Nanoscale Systems On Discrete
Book SynopsisThe area of low-dimensional quantum systems on discrete spaces is a rapidly growing research field lying at the interface between quantum theoretical developments, like discrete and q-difference equations, and tight binding superlattice models in solid-state physics. Systems on discrete spaces are promising candidates for applications in several areas. Indeed, the dynamic localization of electrons on the 1D lattice under the influence of an external electric field serves to describe time-dependent transport in quantum wires, linear optical absorption spectra, and the generation of higher harmonics. Odd-even parity effects and the flux dependent oscillations of total persistent currents in discretized rings can also be invoked. Technological developments are then provided by conductance calculations characterizing 1D conductors, junctions between rings and leads or rings and dots, and by quantum LC-circuits. Accordingly, the issues presented in this book are important starting points for the design of novel nanodevices.Table of ContentsLattice Structures and Discretizations; Periodic Quasiperiodic and Confinement Potentials; Time Discretization Schemes; Discrete Schrodinger-Equations: Typical Examples; Discrete Analogs and Lie-Algebraic Discretizations: Realizations of Heisenberg-Weyl Algebras; Hopping Hamiltonians: Electrons in Electric Field; Tight Binding Descriptions in the Presence of the Magnetic Field; The Harper Equation and Electrons on the 1D Ring; The q-Symmetrized Harper Equation; Quantum Oscillations and Interference Effects in Nanodevices.
£95.40
World Scientific Publishing Co Pte Ltd Quantum Leap: From Dirac And Feynman, Across The
Book SynopsisThis is a unique 21st-century monograph that reveals a basic, yet deep understanding of the universe, as well as the human mind and body — all from the perspective of quantum mechanics and quantum field theory.This book starts with both non-mathematical and mathematical preliminaries. It presents the basics of both non-relativistic and relativistic quantum mechanics, and introduces Feynman path integrals and their application to quantum fields and string theory, as well as some non-quantum applications. It then describes the quantum universe in the form of loop quantum gravity and quantum cosmology. Lastly, the book turns to the human body and mind, applying quantum theory to electro-muscular stimulation and consciousness.It can be used as a graduate (or advanced undergraduate) textbook for a two-semester course in quantum physics and its modern applications. Some parts of the book can also be used by engineers, biologists, psychologists and computer scientists, as well as applied mathematicians, both in industry and academia.
£243.00
World Scientific Publishing Co Pte Ltd Lectures On Quantum Field Theory
Book SynopsisThis book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters — one on the Dirac quantization of constrained systems and another on discrete symmetries — are included for completeness, although these are not covered in the two-semester course.
£76.95
World Scientific Publishing Co Pte Ltd Atomistic Simulation Of Quantum Transport In
Book SynopsisComputational nanoelectronics is an emerging multi-disciplinary field covering condensed matter physics, applied mathematics, computer science, and electronic engineering. In recent decades, a few state-of-the-art software packages have been developed to carry out first-principle atomistic device simulations. Nevertheless those packages are either black boxes (commercial codes) or accessible only to very limited users (private research codes). The purpose of this book is to open one of the commercial black boxes, and to demonstrate the complete procedure from theoretical derivation, to numerical implementation, all the way to device simulation. Meanwhile the affiliated source code constitutes an open platform for new researchers. This is the first book of its kind. We hope the book will make a modest contribution to the field of computational nanoelectronics.Table of ContentsIntroduction; The NECPA Theory; The NECPA-LMTO Method; NanoDsim: The Package Design; NanoDsim: Bulk Systems; NanoDsim: Two-Probe Systems; NanoDsim: Optimization and Parallelization; Kaleidoscope of the Physics in Disordered Systems; Appendix; Bibliography;
£53.20
World Scientific Publishing Co Pte Ltd Collective Classical And Quantum Fields: In
Book SynopsisThis is an introductory book dealing with collective phenomena in many-body systems. A gas of bosons or fermions can show oscillations of various types of density. These are described by different combinations of field variables. Especially delicate is the competition of these variables. In superfluid 3He, for example, the atoms can be attracted to each other by molecular forces, whereas they are repelled from each other at short distance due to a hardcore repulsion. The attraction gives rise to Cooper pairs, and the repulsion is overcome by paramagnon oscillations. The combination is what finally led to the discovery of superfluidity in 3He. In general, the competition between various channels can most efficiently be studied by means of a classical version of the Hubbard-Stratonovich transformation.A gas of electrons is controlled by the interplay of plasma oscillations and pair formation. In a system of rod- or disc-like molecules, liquid crystals are observed with directional orientations that behave in unusual five-fold or seven-fold symmetry patterns. The existence of such a symmetry was postulated in 1975 by the author and K Maki. An aluminium material of this type was later manufactured by Dan Shechtman which won him the 2014 Nobel prize. The last chapter presents some solvable models, one of which was the first to illustrate the existence of broken supersymmetry in nuclei.
£31.35
World Scientific Publishing Co Pte Ltd Introduction To The Quantum World Of Atoms And
Book SynopsisThis invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree-Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.
£57.95
World Scientific Publishing Co Pte Ltd On The Emergence Theme Of Physics
Book SynopsisThe book surveys mathematical relations between classical and quantum mechanics, gravity, time and thermodynamics from various points of view and many sources (with appropriate attribution). The emergence theme is developed with an emphasis on the meaning via mathematics. A background theme of Bohemian mechanics and connections to the quantum equivalence principle of Matone et al. is also developed in great detail. Some original work relating the quantum potential and Ricci flow is also included.Table of ContentsSome Quantum Background; Some Geometric Aspects; Aspects of Emergence; Kaluza-Klein and Cosmology; Remarks on Thermodynamics and Gravity; Geometry and Mechanics; On Time and the Universe; Gravity and the Quantum Potential.
£85.50
